To determine the smallest number that is a multiple of all numbers from 1 to 10, compute their least common multiple (LCM). Using prime factorizations, we find that 2, 3, 5, and 7 must be included with appropriate powers. The LCM is 2520, derived from 2³ × 3² × 5 × 7. This number is divisible by eveRead more
To determine the smallest number that is a multiple of all numbers from 1 to 10, compute their least common multiple (LCM). Using prime factorizations, we find that 2, 3, 5, and 7 must be included with appropriate powers. The LCM is 2520, derived from 2³ × 3² × 5 × 7. This number is divisible by every integer from 1 to 10, confirming it as the smallest common multiple for this range.
Between 21 and 30, the prime numbers are 23 and 29, totaling 2. These numbers have no divisors other than 1 and themselves. The remaining numbers (21, 22, 24, 25, 26, 27, 28, and 30) are composite, totaling 8. Composite numbers have additional divisors, like 24 (divisible by 2, 3, 4, 6, 8, and 12).Read more
Between 21 and 30, the prime numbers are 23 and 29, totaling 2. These numbers have no divisors other than 1 and themselves. The remaining numbers (21, 22, 24, 25, 26, 27, 28, and 30) are composite, totaling 8. Composite numbers have additional divisors, like 24 (divisible by 2, 3, 4, 6, 8, and 12). Together, primes and composites account for all integers within this interval.
Between 1 and 100, there are exactly 25 prime numbers. These numbers include 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97. Each of these has only two divisors, 1 and itself. They are fundamental in mathematics, as they form the building blocks foRead more
Between 1 and 100, there are exactly 25 prime numbers. These numbers include 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97. Each of these has only two divisors, 1 and itself. They are fundamental in mathematics, as they form the building blocks for all composite numbers through multiplication.
Among all integers, 2 is unique as the only even prime number. A prime number has exactly two divisors: 1 and itself. Any even number other than 2 is divisible by 2, making it composite rather than prime. For example, 4, 6, 8, and 10 all have additional divisors besides 1 and themselves, disqualifyiRead more
Among all integers, 2 is unique as the only even prime number. A prime number has exactly two divisors: 1 and itself. Any even number other than 2 is divisible by 2, making it composite rather than prime. For example, 4, 6, 8, and 10 all have additional divisors besides 1 and themselves, disqualifying them as primes. Hence, 2 is the sole even number meeting the prime number criteria.
Prime numbers under 20 include 2, 3, 5, 7, 11, 13, 17, and 19. To find pairs whose sums are multiples of 5, consider combinations like (2, 3), (7, 13), and (11, 19). Their sums are 5, 20, and 30, respectively, all divisible by 5. These pairs satisfy the given condition by adhering to both prime andRead more
Prime numbers under 20 include 2, 3, 5, 7, 11, 13, 17, and 19. To find pairs whose sums are multiples of 5, consider combinations like (2, 3), (7, 13), and (11, 19). Their sums are 5, 20, and 30, respectively, all divisible by 5. These pairs satisfy the given condition by adhering to both prime and divisibility properties, showing how different primes can combine to yield specific results.
Consecutive composite numbers appear when no prime numbers interrupt the sequence. Between 1 and 100, one such sequence is 90, 91, 92, 93, 94, 95, and 96. For example, 90 is divisible by 2, 91 by 7, and 92 by 2, ensuring they are composite. This stretch is uninterrupted by primes, as none of these nRead more
Consecutive composite numbers appear when no prime numbers interrupt the sequence. Between 1 and 100, one such sequence is 90, 91, 92, 93, 94, 95, and 96. For example, 90 is divisible by 2, 91 by 7, and 92 by 2, ensuring they are composite. This stretch is uninterrupted by primes, as none of these numbers meet the prime criterion of having exactly two divisors.
Creating lists of classmates’ birthplaces and languages showcases the diversity within a single classroom, representing India’s multicultural society. This exercise reveals the range of regional backgrounds and languages students bring, yet all share a common Indian identity. The activity fosters apRead more
Creating lists of classmates’ birthplaces and languages showcases the diversity within a single classroom, representing India’s multicultural society. This exercise reveals the range of regional backgrounds and languages students bring, yet all share a common Indian identity. The activity fosters appreciation for different cultures and demonstrates how diverse groups coexist harmoniously. By understanding each other’s origins, students gain a greater sense of respect and unity, embodying India’s unity in diversity within the classroom environment.
For more NCERT Solutions for Class 6 Social Science Chapter 8 Unity in Diversity, or ‘Many in the One’ Extra Questions and Answer:
Listing common ingredients such as rice, wheat, and spices like turmeric and cumin reveals shared elements in Indian cuisine. While cooking methods differ across regions, these ingredients unify Indian kitchens, creating a sense of culinary connection. This activity illustrates how staple foods formRead more
Listing common ingredients such as rice, wheat, and spices like turmeric and cumin reveals shared elements in Indian cuisine. While cooking methods differ across regions, these ingredients unify Indian kitchens, creating a sense of culinary connection. This activity illustrates how staple foods form a foundation for diverse dishes, allowing each region to express its culture through unique preparations. Recognizing this shared culinary base fosters appreciation for India’s unity in diversity, showing that common ingredients can yield endless regional specialties.
For more NCERT Solutions for Class 6 Social Science Chapter 8 Unity in Diversity, or ‘Many in the One’ Extra Questions and Answer:
Choosing a vegetable like potato, students can explore diverse dishes: aloo paratha, potato curry, masala fries, or aloo tikki. This activity highlights how one ingredient serves as a base for numerous regional recipes. Each preparation style reflects different cultural influences, from spices to coRead more
Choosing a vegetable like potato, students can explore diverse dishes: aloo paratha, potato curry, masala fries, or aloo tikki. This activity highlights how one ingredient serves as a base for numerous regional recipes. Each preparation style reflects different cultural influences, from spices to cooking techniques. By exploring these variations, students experience India’s unity in diversity in cuisine, appreciating how a single vegetable can adapt to reflect the distinct culinary traditions of various Indian communities.
For more NCERT Solutions for Class 6 Social Science Chapter 8 Unity in Diversity, or ‘Many in the One’ Extra Questions and Answer:
The sari symbolizes India’s unity in diversity, as it is worn across the country with regional variations. States like Tamil Nadu produce Kanjivaram saris, while Banarasi saris come from Uttar Pradesh, each unique in fabric and design. These regional distinctions represent cultural diversity, yet thRead more
The sari symbolizes India’s unity in diversity, as it is worn across the country with regional variations. States like Tamil Nadu produce Kanjivaram saris, while Banarasi saris come from Uttar Pradesh, each unique in fabric and design. These regional distinctions represent cultural diversity, yet the sari itself is a common traditional attire, creating a sense of unity. This adaptability highlights India’s diversity in craftsmanship and regional expression while maintaining a shared identity, embodying both unity and diversity in one garment.
For more NCERT Solutions for Class 6 Social Science Chapter 8 Unity in Diversity, or ‘Many in the One’ Extra Questions and Answer:
Find the smallest number that is a multiple of all the numbers from 1 to 10.
To determine the smallest number that is a multiple of all numbers from 1 to 10, compute their least common multiple (LCM). Using prime factorizations, we find that 2, 3, 5, and 7 must be included with appropriate powers. The LCM is 2520, derived from 2³ × 3² × 5 × 7. This number is divisible by eveRead more
To determine the smallest number that is a multiple of all numbers from 1 to 10, compute their least common multiple (LCM). Using prime factorizations, we find that 2, 3, 5, and 7 must be included with appropriate powers. The LCM is 2520, derived from 2³ × 3² × 5 × 7. This number is divisible by every integer from 1 to 10, confirming it as the smallest common multiple for this range.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
How many prime numbers are there from 21 to 30? How many composite numbers are there from 21 to 30?
Between 21 and 30, the prime numbers are 23 and 29, totaling 2. These numbers have no divisors other than 1 and themselves. The remaining numbers (21, 22, 24, 25, 26, 27, 28, and 30) are composite, totaling 8. Composite numbers have additional divisors, like 24 (divisible by 2, 3, 4, 6, 8, and 12).Read more
Between 21 and 30, the prime numbers are 23 and 29, totaling 2. These numbers have no divisors other than 1 and themselves. The remaining numbers (21, 22, 24, 25, 26, 27, 28, and 30) are composite, totaling 8. Composite numbers have additional divisors, like 24 (divisible by 2, 3, 4, 6, 8, and 12). Together, primes and composites account for all integers within this interval.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
How many prime numbers are there between 1 and 100?
Between 1 and 100, there are exactly 25 prime numbers. These numbers include 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97. Each of these has only two divisors, 1 and itself. They are fundamental in mathematics, as they form the building blocks foRead more
Between 1 and 100, there are exactly 25 prime numbers. These numbers include 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97. Each of these has only two divisors, 1 and itself. They are fundamental in mathematics, as they form the building blocks for all composite numbers through multiplication.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
Is there any even prime number other than 2?
Among all integers, 2 is unique as the only even prime number. A prime number has exactly two divisors: 1 and itself. Any even number other than 2 is divisible by 2, making it composite rather than prime. For example, 4, 6, 8, and 10 all have additional divisors besides 1 and themselves, disqualifyiRead more
Among all integers, 2 is unique as the only even prime number. A prime number has exactly two divisors: 1 and itself. Any even number other than 2 is divisible by 2, making it composite rather than prime. For example, 4, 6, 8, and 10 all have additional divisors besides 1 and themselves, disqualifying them as primes. Hence, 2 is the sole even number meeting the prime number criteria.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
Write three pairs of prime numbers less than 20 whose sum is a multiple of 5.
Prime numbers under 20 include 2, 3, 5, 7, 11, 13, 17, and 19. To find pairs whose sums are multiples of 5, consider combinations like (2, 3), (7, 13), and (11, 19). Their sums are 5, 20, and 30, respectively, all divisible by 5. These pairs satisfy the given condition by adhering to both prime andRead more
Prime numbers under 20 include 2, 3, 5, 7, 11, 13, 17, and 19. To find pairs whose sums are multiples of 5, consider combinations like (2, 3), (7, 13), and (11, 19). Their sums are 5, 20, and 30, respectively, all divisible by 5. These pairs satisfy the given condition by adhering to both prime and divisibility properties, showing how different primes can combine to yield specific results.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
Find seven consecutive composite numbers between 1 and 100.
Consecutive composite numbers appear when no prime numbers interrupt the sequence. Between 1 and 100, one such sequence is 90, 91, 92, 93, 94, 95, and 96. For example, 90 is divisible by 2, 91 by 7, and 92 by 2, ensuring they are composite. This stretch is uninterrupted by primes, as none of these nRead more
Consecutive composite numbers appear when no prime numbers interrupt the sequence. Between 1 and 100, one such sequence is 90, 91, 92, 93, 94, 95, and 96. For example, 90 is divisible by 2, 91 by 7, and 92 by 2, ensuring they are composite. This stretch is uninterrupted by primes, as none of these numbers meet the prime criterion of having exactly two divisors.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
As a class activity, make lists of (1) the birthplaces of at least 5 classmates and the birthplaces of their parents; (2) the students’ mother tongues and other languages known to them. Discuss the results in terms of diversity.
Creating lists of classmates’ birthplaces and languages showcases the diversity within a single classroom, representing India’s multicultural society. This exercise reveals the range of regional backgrounds and languages students bring, yet all share a common Indian identity. The activity fosters apRead more
Creating lists of classmates’ birthplaces and languages showcases the diversity within a single classroom, representing India’s multicultural society. This exercise reveals the range of regional backgrounds and languages students bring, yet all share a common Indian identity. The activity fosters appreciation for different cultures and demonstrates how diverse groups coexist harmoniously. By understanding each other’s origins, students gain a greater sense of respect and unity, embodying India’s unity in diversity within the classroom environment.
For more NCERT Solutions for Class 6 Social Science Chapter 8 Unity in Diversity, or ‘Many in the One’ Extra Questions and Answer:
https://www.tiwariacademy.com/ncert-solutions-class-6-social-science-chapter-8/
See lessAs a class activity, make a list of ingredients (grains, spices, etc.) that are used in your home.
Listing common ingredients such as rice, wheat, and spices like turmeric and cumin reveals shared elements in Indian cuisine. While cooking methods differ across regions, these ingredients unify Indian kitchens, creating a sense of culinary connection. This activity illustrates how staple foods formRead more
Listing common ingredients such as rice, wheat, and spices like turmeric and cumin reveals shared elements in Indian cuisine. While cooking methods differ across regions, these ingredients unify Indian kitchens, creating a sense of culinary connection. This activity illustrates how staple foods form a foundation for diverse dishes, allowing each region to express its culture through unique preparations. Recognizing this shared culinary base fosters appreciation for India’s unity in diversity, showing that common ingredients can yield endless regional specialties.
For more NCERT Solutions for Class 6 Social Science Chapter 8 Unity in Diversity, or ‘Many in the One’ Extra Questions and Answer:
https://www.tiwariacademy.com/ncert-solutions-class-6-social-science-chapter-8/
See lessTake any one vegetable and think of the number of different dishes you can prepare with it.
Choosing a vegetable like potato, students can explore diverse dishes: aloo paratha, potato curry, masala fries, or aloo tikki. This activity highlights how one ingredient serves as a base for numerous regional recipes. Each preparation style reflects different cultural influences, from spices to coRead more
Choosing a vegetable like potato, students can explore diverse dishes: aloo paratha, potato curry, masala fries, or aloo tikki. This activity highlights how one ingredient serves as a base for numerous regional recipes. Each preparation style reflects different cultural influences, from spices to cooking techniques. By exploring these variations, students experience India’s unity in diversity in cuisine, appreciating how a single vegetable can adapt to reflect the distinct culinary traditions of various Indian communities.
For more NCERT Solutions for Class 6 Social Science Chapter 8 Unity in Diversity, or ‘Many in the One’ Extra Questions and Answer:
https://www.tiwariacademy.com/ncert-solutions-class-6-social-science-chapter-8/
See lessExplain how the example of the sari reflects both unity and diversity (in 100-150 words).
The sari symbolizes India’s unity in diversity, as it is worn across the country with regional variations. States like Tamil Nadu produce Kanjivaram saris, while Banarasi saris come from Uttar Pradesh, each unique in fabric and design. These regional distinctions represent cultural diversity, yet thRead more
The sari symbolizes India’s unity in diversity, as it is worn across the country with regional variations. States like Tamil Nadu produce Kanjivaram saris, while Banarasi saris come from Uttar Pradesh, each unique in fabric and design. These regional distinctions represent cultural diversity, yet the sari itself is a common traditional attire, creating a sense of unity. This adaptability highlights India’s diversity in craftsmanship and regional expression while maintaining a shared identity, embodying both unity and diversity in one garment.
For more NCERT Solutions for Class 6 Social Science Chapter 8 Unity in Diversity, or ‘Many in the One’ Extra Questions and Answer:
https://www.tiwariacademy.com/ncert-solutions-class-6-social-science-chapter-8/
See less